RBF_matlab

说明：  powell优化搜索算法，适合于多参数优化且目标函数中不包含参数的情况(Powell optimization search algorithm, suited to multi-parameter optimization objective function which does not contain the parameters of)

matlab编程中所需要的优化工具箱，可对波形进行优化等(matlab programming required in the optimization toolbox, optimization of the waveform can be)

小波工具箱的应用基础 395 16.1 一维小波分析的应用 395 16.1.1 小波分解在普通信号分析中的应用 395 16.1.2 小波变换在信号特征检测中的应用 411 16.2 二维小波分析的应用 417 16.2.1 小波分析在图像平滑中的应用 417 16.2.2 小波分析在图像增强中的应用 418 16.2.3 小波分析在图像融合中的应用 420 16.3 小波包分析的应用 422 16.3.1 小波包在信号时频分析中的应用 423 16.3.2 小波包在图像边缘检测中的应用 429(toolbox of 16.1 basis of a 395-dimensional wavelet analysis of 395 small 16.1.1 Decomposition of the ordinary wave signal analysis of 395 16.1.2 wavelet transform in signal detection of 41 a 16.2 2D wavelet analysis of 417 16.2.1 wavelet analysis in image smoothing of 417 1 6.2.2 wavelet analysis in image enhancement of 418 16.2.3 wavelet analysis in Image Fusion System 420 16.3 wavelet packet analysis of wavelet packet Entry 422 in the signal frequency analysis of 42 3 16.3.2 wavelet packet in Edge Detection of 429)

说明：  通用NSGA2程序，里面有详细的注释，亲测可用(General NSGA2 program, which has detailed notes, pro test available)

光学系统传递矩阵和高斯常数的计算（matlab）(Transfer Matrix and Gaussian optical constant calculation (matlab))

1） 借助MATLAB画出误差性能曲面和误差性能曲面的等值曲线； 2） 写出最陡下降法， LMS算法的计算公式（ ）； 3） 用MATLAB产生方差为0.05,均值为0白噪音S(n)，并画出其中一次实现的波形图； 4） 根据2）中的公式，并利用3）中产生的S(n)，在1）中的误差性能曲面的等值曲线上叠加画出采用最陡下降法， LMS法时H(n)的在叠代过程中的轨迹曲线。 5）用MATLAB计算并画出LMS法时 随时间n的变化曲线（对 应S(n)的某一次的一次实现）和e(n)波形；某一次实现的结果并不能从统计的角度反映实验的结果的正确性，为得到具有统计特性的实验结果，可用足够多次的实验结果的平均值作为实验的结果。用MATLAB计算并画出LMS法时J(n)的100次实验结果的平均值随时间n的变化曲线。 6）用MATLAB计算并在1）中的误差性能曲面的等值曲线上叠加画出LMS法时100次实验中的H(n)的平均值的轨迹曲线； 7）对以上实验结果给出一些你认为有价值的讨论。 （在实验中n=1,,…..N,N的取值根据实验情况确定，一般选取足够大以使算法达到基本收敛，本题作业以电子文档PDF格式提供） (1) With MATLAB to draw the contours of the error performance surface and error performance surface 2) Write down the steepest descent method, the LMS algorithm formula () 3) using MATLAB variance 0.05, mean 0 white noise S (n), and draw one to achieve the waveform diagram 4) According to the formula 2), and using 3) S (n) produced in 1), the error performance of the contours of the surfaces superimposed on draw using the steepest descent method, the LMS method is H (n) in the iterative process in the trajectory curve. 5) curve to calculate and draw the LMS method using MATLAB with time n (time corresponding to the S (n) of a first implementation) and e (n) waveform reflect a certain time to achieve results not from a statistical point of experiment the correctness of the results obtained with the experimental results of the statistical properties of the available sufficient times the average of the experimental results as a result of the experiment. Calculate and draw the LMS m)

这里实现了图像除噪声的算法，各种模板算子。(Here to realize the image noise than the algorithm, various template operator.)

The Gauss-Seidel technique is intuitive and easy to use on large or small problems. However, you should beware that the convergence tolerance must be carefully selected. Because the convergence criterion is based on the error between iterations, the same convergence criteria may lead to very different results. The direct solution technique presented in Section 2.6.2 is generally preferred over an iterative technique like Gauss-Seidel iteration if a tool such as MATLAB that provides a computationally efficient means of solving sparse matrices is available.

说明：  利用遗传算法来求解非线性方程组，详细的Matlab程序(matlab program for GA to solve the nonlinear equations)

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